A number is multiplied by 3 and then decreased by 5. The result is 16. What is t

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Question: A number is multiplied by 3 and then decreased by 5. The result is 16. What is the number?

Options:

Correct Answer: 7

Solution:

Let the number be x. Then, 3x - 5 = 16. Adding 5 to both sides gives 3x = 21. Dividing by 3 gives x = 7.

A number is multiplied by 3 and then decreased by 5. The result is 16. What is the number?

A number is multiplied by 3 and then decreased by 5. The result is 16. What is the number?

Step 1: Let the unknown number be represented by the letter 'x'.
Step 2: According to the problem, we first multiply 'x' by 3. This gives us '3x'.
Step 3: Next, we decrease the result by 5. This means we write '3x - 5'.
Step 4: We know that this result equals 16, so we can write the equation: 3x - 5 = 16.
Step 5: To solve for 'x', we first need to get rid of the -5. We do this by adding 5 to both sides of the equation.
Step 6: After adding 5, the equation becomes: 3x = 21.
Step 7: Now, we need to find 'x'. We do this by dividing both sides of the equation by 3.
Step 8: After dividing, we find that x = 7.

Algebraic Equations – The question tests the ability to set up and solve a linear equation based on a word problem.
Order of Operations – Understanding the sequence of operations (multiplication, subtraction) is crucial for correctly forming the equation.